I went to the hospital last week and they said i have possible appendicitis but they sent me home were they suppose too ?

Complex issue: When health care practitioners are confronted with a collection of signs and symptoms, they create a differential diagnosis - a list of possibilities. Some things on the list are more likely than others. Maybe on your case, appendicitis was on the list, but very unlikely, which is why they sent you home. If you haven't had surgery, its unlikely you have acute appendicitis. Hope this helps.